The fact that the slopes of corresponding line segments in the preimage and in the image are equal implies that the line segments are parallel to each other. In some cases, the line segments are not only parallel but also lie on the same line.
Considering the provided statement, we are going to define what does we know about two or more line segments that have the same slope, so we obtain the following:
So, let's remember that if two lines have the same slope, it means that these two lines are parallel to each other.
Therefore, we finally obtain that every pair of lines with the same slope will be parallel.
